Oisín Flynn-Connolly: Determinant Massey product

Abstract

In this talk, after some initial discussion of classical and matric Massey products on differential graded algebras, we introduce the determinant Massey product, a new secondary operation on the cohomology of commutative dg-algebras which is reminiscent of the classical Massey product. As an application, we study A_n-algebra analogues of recent theorems of Saleh, and of Campos—Petersen—Robert-Nicoud—Wierstra on the associative and commutative quasi-isomorphism problem. We establish the n=2 case and explain how it fails for n\geq 3.